In case if someone will try to do something similar, I’ve achieved expected behaviour by using UE4 built in physics.
First I turned on a physycal simulation for the sphere, and restricted the axis by which it would be able to move while simulating a physics. The might be made in object details. Also you can set there object’s mass and environmental resistance (it’s not exact name of the parameter, but it’s not hard to determine which one responsible for what, so just play with numbers).
Then I’ve started to add force (there is an appropriate function for this purpose in blueprints) with some power I wanted to, so obect started to move in some direction by the line (it’s not curved trajectory yet).
Then, to simulate a wind, I’ve added one more “add force”, but this time much smaller, although it was adding on each tick, so the longer it moves after launch, the less initial power become, and the stronger influence of the wind become, so in some moment it changes its direction to the one to which the wind was directed.
After that sphere starts to move faster and faster during the time, because forces was constantly adding, but I needed to stop it at some point. So I’ve just added a timer delay, after which a wind stops adding power, and sphere become increasing its speed in natural way.
So here how it works now:
https://drive.google.com/open?id=1P1pZZoU0MwvpnawPAURRP5EMNAlbONoT